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This book contains essays in honour of Claus Weddepohl who, after 22 years, is retiring as professor of mathematical economics at the Department of Quantitative Economics of the University of Amsterdam. Claus Weddepohl may be viewed as th~ first Dutch mathematical economist in the general equi librium tradition of Arrow, Debreu and Hahn. The essays in this book are centered around the themes Equilibrium, Markets and Dynamics, that have been at the heart of Weddepohl's work on mathematical economics for more than three decades. The essays have been classified according to these three themes. Admittedly such a classification always is somewhat arbitrary, and most essays would in fact fit into ...
3 edge, methods and theory. I turn now to some of my own reflections on this score. Some Reflections My first proposition is that if we are interested in analyzing the performance and dynamic properties of the world's economies, it is only at significant peril that comparative economists can overlook noneconomic or "political" factors. This is not to say that it is illegitimate to abstract from non-economic factors for particular purposes; rather, such abstraction should occur only with cogni zance of the influences being suppressed. I have argued elsewhere that the analytical compromise in suppressing noneconomic variables is greater for the study of planned than for market economies. [7] B...
Transcending the arid formalism of present-day economic theory, Frontiers of Political Economy develops a new and accessible perspective on the world economy. Guglielmo Carchedi identifies and analyses three key features of modern capitalism: the rapidly increasing share of human labour needed for the advancement of science and technology rather than for the production of goods; the global, rather than national, nature of production, distribution and consumption; and the dominance of the oligopolies. This analysis enables Carchedi to explore new theoretical frontiers: from an original theory of mental and material labour to an investigation of the conditions under which mental labour produce...
Recognising that the economy is a complex system with boundedly rational interacting agents, the book presents a theory of behavioral rationality and heterogeneous expectations in complex economic systems and confronts the nonlinear dynamic models with empirical stylized facts and laboratory experiments. The complexity modeling paradigm has been strongly advocated since the late 1980s by some economists and by multidisciplinary scientists from various fields, such as physics, computer science and biology. More recently the complexity view has also drawn the attention of policy makers, who are faced with complex phenomena, irregular fluctuations and sudden, unpredictable market transitions. The complexity tools - bifurcations, chaos, multiple equilibria - discussed in this book will help students, researchers and policy makers to build more realistic behavioral models with heterogeneous expectations to describe financial market movements and macro-economic fluctuations, in order to better manage crises in a complex global economy.
A brand new, fully updated edition of a popular classic on matrix differential calculus with applications in statistics and econometrics This exhaustive, self-contained book on matrix theory and matrix differential calculus provides a treatment of matrix calculus based on differentials and shows how easy it is to use this theory once you have mastered the technique. Jan Magnus, who, along with the late Heinz Neudecker, pioneered the theory, develops it further in this new edition and provides many examples along the way to support it. Matrix calculus has become an essential tool for quantitative methods in a large number of applications, ranging from social and behavioral sciences to econome...
First published in 1997, this book contains six in-depth articles on various aspects of the field of tight and taut submanifolds and concludes with an extensive bibliography of the entire field. The book is dedicated to the memory of Nicolaas H. Kuiper; the first paper is an unfinished but insightful survey of the field of tight immersions and maps written by Kuiper himself. Other papers by leading researchers in the field treat topics such as the smooth and polyhedral portions of the theory of tight immersions, taut, Dupin and isoparametric submanifolds of Euclidean space, taut submanifolds of arbitrary complete Riemannian manifolds, and real hypersurfaces in complex space forms with special curvature properties. Taken together these articles provide a comprehensive survey of the field and point toward several directions for future research.
This book explains why contemporary liberal democracies are based on historical templates rather than revolutionary reforms; why the transition in Europe occurred during a relatively short period in the nineteenth century; why politically and economically powerful men and women voluntarily supported such reforms; how interests, ideas, and pre-existing institutions affected the reforms adopted; and why the countries that liberalized their political systems also produced the Industrial Revolution. The analysis is organized in three parts. The first part develops new rational choice models of (1) governance, (2) the balance of authority between parliaments and kings, (3) constitutional exchange, and (4) suffrage reform. The second part provides historical overviews and detailed constitutional histories of six important countries. The third part provides additional evidence in support of the theory, summarizes the results, contrasts the approach taken in this book with that of other scholars, and discusses methodological issues.